Question

In a certain town, the barometric inches of air pressure, x, on a certain day is described by two statements:


If 3 times the air pressure is increased by 2, the pressure is still less than 92 inches.
Twice the air pressure minus 39 is greater than 11 inches.

Answer 1

Part A: Create a compound inequality to represent the air pressure range. (3 points)

Part B: Can the air pressure in this town be 24 inches? Justify your answer by solving the inequalities in Part A. (3 points)

Part C: The average air pressure in another town is 29 inches but the actual pressure is within 4 inches of the average. Write and solve an inequality to find the range of air pressure in this town. (4 points)

Answer 2

3x+2<92
3x<90
x<30

2x-39>11
2x>50
x>25

25<x<30???

Answer 3

@ganeshie8

Answer 4

@AllTehMaffs

Answer 5

The pressure can't be 24 inches, right?

Answer 6

I think C is \[34 \le x \le 24\]

Answer 7

@thomaster

Answer 8

A and B correct,
C is wrong

Answer 9

average pressure = 29

say, actual pressure = x

so, x cannot be off by more than 4 inches ok

Answer 10

|x - 29| < 4

solve x

Answer 11

x-29<4
x<33

-x+29<4
29-4<x
25<x

Answer 12

25<x<33

Answer 13

Excellent !